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SIZIF [17.4K]
3 years ago
15

Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)

Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0

Answer:

x=2.125

y=0

C=19.125

Step-by-step explanation:

To solve this problem we can use a graphical method, we start first noticing the restrictions x\geq 0 and  y\geq 0, which restricts the solution to be in the positive quadrant. Then we plot the first restriction 8x+10y\leq 17 shown in purple, then we can plot the second one 11x+12y\leq 25 shown in the second plot in green.

The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.

So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.

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A line passes through the point (–7, 5) and has a slope of 1/2. Which is another point that the line passes through?
Andrej [43]
The answer to this question is (9,13). Here's how:
First thing you need to do is find the equation. You have a coordinate point and the slope. Remember a linear equation or formula is y=mx+b (m= slope and b= y-intercept)

So let's input the slope into the equation:
y=1/2x+b or y=0.5x+b
Notice how there is no b yet? That's because you need to find it. Good thing you have the coordinate points, so replace x and y with it. ( (x,y) = ( -7, 5) )

5=0.5(-7)+b
5= -3.5+b
+3.5 +3.5
b= 8.5
The equation is now y=0.5x+8.5 and with that equation you can now input it in a calculator to find which of the following coordinate points lies on. Or you can just input those points into the calculator. Which I did because I love to show my work. I have a picture of the work included and I really do hope I helped you. If not, message me. I'll be glad you to help you!

7 0
2 years ago
7/11 converted to a decimal rounded up 2 places
astraxan [27]

Answer:

0.636

Step-by-step explanation:

First off, we'll interpret the fraction bar to mean "divided by." This means that 7/11 is the same as 7 divided by 11.

Second, you have requested to see 2 decimal places in your answer, so we'll write the 7 as 7.00 instead (a 7 with 2 zeros after the decimal point).

Now, we'll just do what the fraction bar says: divide 7.00 by 11:

And that's about it! 7/11 written as a decimal to 3 decimal places is 0.636.

3 0
3 years ago
Read 2 more answers
Simplify 5x + 3y - 2x
Blababa [14]
It is 5x+y . i think so
8 0
3 years ago
Suppose 15% of x equals 20% of y. What percentage of x is y ?
WINSTONCH [101]

Answer:

x = 133\frac{1}{3} of y

Step-by-step explanation:

Given:

15% of x equals 20% of y

So,

0.15x = 0.20y

so

x = 0.20 y / 0.15

x = 1.3333y

x = 133\frac{1}{3} of y

7 0
2 years ago
Read 2 more answers
Can I please get help with this?
Andrei [34K]

Answer: x = 20.

Step-by-step explanation:

x and (3x + 10) combine to form a right angle, shown in the diagram by the small square joining the perpendicular lines.

Right angles are 90 degrees, so you can add both angles to get 90:

x + (3x + 10) = 90\\\\4x + 10 = 90\\\\4x = 80\\\\x = 20

7 0
3 years ago
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